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Q.Express the formula for estimating the Consumer Price Index Number.

Manipur CohsemCOHSEM Manipur Higher Secondary 1st Year (Commerce) 2021Subjective· 1mImportance★★★★★est
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The Consumer Price Index (CPI) is estimated by comparing the cost, at current prices, of a FIXED basket of goods and services consumed by a specific group of people, against the cost of the same basket at base-year prices.

Aggregate Expenditure Method formula:

CPI = (Σp1q0 / Σp0q0) × 100

where:

  • p1 = price of each item in the current year
  • p0 = price of each item in the base year
  • q0 = quantity of each item consumed in the base year (held fixed)

Alternative (Family Budget / weighted price relatives) method:

CPI = Σ(P.W) / ΣW

where P = price relative of each item = (p1/p0) × 100, and W = weight assigned to each item based on its share in the base-year expenditure of the specific consumer group.

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